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Key parameter optimization and analysis of stochastic seismic inversion 被引量:11
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作者 黄哲远 甘利灯 +2 位作者 戴晓峰 李凌高 王军 《Applied Geophysics》 SCIE CSCD 2012年第1期49-56,115,116,共10页
Stochastic seismic inversion is the combination of geostatistics and seismic inversion technology which integrates information from seismic records, well logs, and geostatistics into a posterior probability density fu... Stochastic seismic inversion is the combination of geostatistics and seismic inversion technology which integrates information from seismic records, well logs, and geostatistics into a posterior probability density function (PDF) of subsurface models. The Markov chain Monte Carlo (MCMC) method is used to sample the posterior PDF and the subsurface model characteristics can be inferred by analyzing a set of the posterior PDF samples. In this paper, we first introduce the stochastic seismic inversion theory, discuss and analyze the four key parameters: seismic data signal-to-noise ratio (S/N), variogram, the posterior PDF sample number, and well density, and propose the optimum selection of these parameters. The analysis results show that seismic data S/N adjusts the compromise between the influence of the seismic data and geostatistics on the inversion results, the variogram controls the smoothness of the inversion results, the posterior PDF sample number determines the reliability of the statistical characteristics derived from the samples, and well density influences the inversion uncertainty. Finally, the comparison between the stochastic seismic inversion and the deterministic model based seismic inversion indicates that the stochastic seismic inversion can provide more reliable information of the subsurface character. 展开更多
关键词 stochastic seismic inversion signal-to-noise ratio VARIOGRAM posterior probability distribution sample number well density
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Least-Squares Seismic Inversion with Stochastic Conjugate Gradient Method 被引量:2
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作者 Wei Huang Hua-Wei Zhou 《Journal of Earth Science》 SCIE CAS CSCD 2015年第4期463-470,共8页
With the development of computational power, there has been an increased focus on data-fitting related seismic inversion techniques for high fidelity seismic velocity model and image, such as full-waveform inversion a... With the development of computational power, there has been an increased focus on data-fitting related seismic inversion techniques for high fidelity seismic velocity model and image, such as full-waveform inversion and least squares migration. However, though more advanced than conventional methods, these data fitting methods can be very expensive in terms of computational cost. Recently, various techniques to optimize these data-fitting seismic inversion problems have been implemented to cater for the industrial need for much improved efficiency. In this study, we propose a general stochastic conjugate gradient method for these data-fitting related inverse problems. We first prescribe the basic theory of our method and then give synthetic examples. Our numerical experiments illustrate the potential of this method for large-size seismic inversion application. 展开更多
关键词 least-squares seismic inversion stochastic conjugate gradient method data fitting Kirchhoff migration.
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Prestack seismic stochastic inversion based on statistical characteristic parameters 被引量:4
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作者 Wang Bao-Li Lin Ying +1 位作者 Zhang Guang-Zhi Yin Xing-Yao 《Applied Geophysics》 SCIE CSCD 2021年第1期63-74,129,共13页
In the conventional stochastic inversion method,the spatial structure information of underground strata is usually characterized by variograms.However,effectively characterizing the heterogeneity of complex strata is ... In the conventional stochastic inversion method,the spatial structure information of underground strata is usually characterized by variograms.However,effectively characterizing the heterogeneity of complex strata is difficult.In this paper,multiple parameters are used to fully explore the underground formation information in the known seismic reflection and well log data.The spatial structure characteristics of complex underground reservoirs are described more comprehensively using multiple statistical characteristic parameters.We propose a prestack seismic stochastic inversion method based on prior information on statistical characteristic parameters.According to the random medium theory,this method obtains several statistical characteristic parameters from known seismic and logging data,constructs a prior information model that meets the spatial structure characteristics of the underground strata,and integrates multiparameter constraints into the likelihood function to construct the objective function.The very fast quantum annealing algorithm is used to optimize and update the objective function to obtain the fi nal inversion result.The model test shows that compared with the traditional prior information model construction method,the prior information model based on multiple parameters in this paper contains more detailed stratigraphic information,which can better describe complex underground reservoirs.A real data analysis shows that the stochastic inversion method proposed in this paper can effectively predict the geophysical characteristics of complex underground reservoirs and has a high resolution. 展开更多
关键词 prior information random medium theory statistical characteristic parameters stochastic inversion very fast quantum annealing
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Comparison of deterministic and stochastic approaches to crosshole seismic travel-time inversions
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作者 YanZhe Zhao YanBin Wang 《Earth and Planetary Physics》 CSCD 2019年第6期547-559,共13页
The Bayesian inversion method is a stochastic approach based on the Bayesian theory.With the development of sampling algorithms and computer technologies,the Bayesian inversion method has been widely used in geophysic... The Bayesian inversion method is a stochastic approach based on the Bayesian theory.With the development of sampling algorithms and computer technologies,the Bayesian inversion method has been widely used in geophysical inversion problems.In this study,we conduct inversion experiments using crosshole seismic travel-time data to examine the characteristics and performance of the stochastic Bayesian inversion based on the Markov chain Monte Carlo sampling scheme and the traditional deterministic inversion with Tikhonov regularization.Velocity structures with two different spatial variations are considered,one with a chessboard pattern and the other with an interface mimicking the Mohorovicicdiscontinuity(Moho).Inversions are carried out with different scenarios of model discretization and source–receiver configurations.Results show that the Bayesian method yields more robust single-model estimations than the deterministic method,with smaller model errors.In addition,the Bayesian method provides the posterior probabilistic distribution function of the model space,which can help us evaluate the quality of the inversion result. 展开更多
关键词 stochastic APPROACH DETERMINISTIC APPROACH Bayesian inversion MARKOV Chain MONTE Carlo Tikhonov REGULARIZATION
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Stochastic seismic inversion and Bayesian facies classification applied to porosity modeling and igneous rock identification
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作者 Fábio Júnior Damasceno Fernandes Leonardo Teixeira +1 位作者 Antonio Fernando Menezes Freire Wagner Moreira Lupinacci 《Petroleum Science》 SCIE EI CAS CSCD 2024年第2期918-935,共18页
We apply stochastic seismic inversion and Bayesian facies classification for porosity modeling and igneous rock identification in the presalt interval of the Santos Basin. This integration of seismic and well-derived ... We apply stochastic seismic inversion and Bayesian facies classification for porosity modeling and igneous rock identification in the presalt interval of the Santos Basin. This integration of seismic and well-derived information enhances reservoir characterization. Stochastic inversion and Bayesian classification are powerful tools because they permit addressing the uncertainties in the model. We used the ES-MDA algorithm to achieve the realizations equivalent to the percentiles P10, P50, and P90 of acoustic impedance, a novel method for acoustic inversion in presalt. The facies were divided into five: reservoir 1,reservoir 2, tight carbonates, clayey rocks, and igneous rocks. To deal with the overlaps in acoustic impedance values of facies, we included geological information using a priori probability, indicating that structural highs are reservoir-dominated. To illustrate our approach, we conducted porosity modeling using facies-related rock-physics models for rock-physics inversion in an area with a well drilled in a coquina bank and evaluated the thickness and extension of an igneous intrusion near the carbonate-salt interface. The modeled porosity and the classified seismic facies are in good agreement with the ones observed in the wells. Notably, the coquinas bank presents an improvement in the porosity towards the top. The a priori probability model was crucial for limiting the clayey rocks to the structural lows. In Well B, the hit rate of the igneous rock in the three scenarios is higher than 60%, showing an excellent thickness-prediction capability. 展开更多
关键词 stochastic inversion Bayesian classification Porosity modeling Carbonate reservoirs Igneous rocks
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Stochastic Techniques of Seismic Inversion and Reservoir Properties Prediction
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作者 Denis Kashcheev Dmitry Kirnos 《岩性油气藏》 CSCD 2010年第F07期93-96,108,共5页
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Output Feedback for Stochastic Nonlinear Systems with Unmeasurable Inverse Dynamics
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作者 Xin Yu Na Duan 《International Journal of Automation and computing》 EI 2009年第4期391-394,共4页
This paper considers a concrete stochastic nonlinear system with stochastic unmeasurable inverse dynamics. Motivated by the concept of integral input-to-state stability (iISS) in deterministic systems and stochastic... This paper considers a concrete stochastic nonlinear system with stochastic unmeasurable inverse dynamics. Motivated by the concept of integral input-to-state stability (iISS) in deterministic systems and stochastic input-to-state stability (SISS) in stochastic systems, a concept of stochastic integral input-to-state stability (SiISS) using Lyapunov functions is first introduced. A constructive strategy is proposed to design a dynamic output feedback control law, which drives the state to the origin almost surely while keeping all other closed-loop signals almost surely bounded. At last, a simulation is given to verify the effectiveness of the control law. 展开更多
关键词 Output feedback stochastic input-to-state stability (SISS) stochastic integral input-to-state stability (SilSS) stochastic inverse dynamic stochastic nonlinear systems.
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An inverse method for characterization of dynamic response of 2D structures under stochastic conditions
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作者 Xuefeng LI Abdelmalek ZINE +2 位作者 Mohamed ICHCHOU Noureddine BOUHADDI Pascal FOSSAT 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2024年第3期440-455,共16页
The reliable estimation of the wavenumber space(k-space)of the plates remains a longterm concern for acoustic modeling and structural dynamic behavior characterization.Most current analyses of wavenumber identificatio... The reliable estimation of the wavenumber space(k-space)of the plates remains a longterm concern for acoustic modeling and structural dynamic behavior characterization.Most current analyses of wavenumber identification methods are based on the deterministic hypothesis.To this end,an inverse method is proposed for identifying wave propagation characteristics of twodimensional structures under stochastic conditions,such as wavenumber space,dispersion curves,and band gaps.The proposed method is developed based on an algebraic identification scheme in the polar coordinate system framework,thus named Algebraic K-Space Identification(AKSI)technique.Additionally,a model order estimation strategy and a wavenumber filter are proposed to ensure that AKSI is successfully applied.The main benefit of AKSI is that it is a reliable and fast method under four stochastic conditions:(A)High level of signal noise;(B)Small perturbation caused by uncertainties in measurement points’coordinates;(C)Non-periodic sampling;(D)Unknown structural periodicity.To validate the proposed method,we numerically benchmark AKSI and three other inverse methods to extract dispersion curves on three plates under stochastic conditions.One experiment is then performed on an isotropic steel plate.These investigations demonstrate that AKSI is a good in-situ k-space estimator under stochastic conditions. 展开更多
关键词 inverse method Dispersion relation Wavenumber space Periodic plates stochastic conditions Wave propagation characterization
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Inverse stochastic resonance in modular neural network with synaptic plasticity
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作者 于永涛 杨晓丽 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第3期45-52,共8页
This work explores the inverse stochastic resonance(ISR) induced by bounded noise and the multiple inverse stochastic resonance induced by time delay by constructing a modular neural network, where the modified Oja’s... This work explores the inverse stochastic resonance(ISR) induced by bounded noise and the multiple inverse stochastic resonance induced by time delay by constructing a modular neural network, where the modified Oja’s synaptic learning rule is employed to characterize synaptic plasticity in this network. Meanwhile, the effects of synaptic plasticity on the ISR dynamics are investigated. Through numerical simulations, it is found that the mean firing rate curve under the influence of bounded noise has an inverted bell-like shape, which implies the appearance of ISR. Moreover, synaptic plasticity with smaller learning rate strengthens this ISR phenomenon, while synaptic plasticity with larger learning rate weakens or even destroys it. On the other hand, the mean firing rate curve under the influence of time delay is found to exhibit a decaying oscillatory process, which represents the emergence of multiple ISR. However, the multiple ISR phenomenon gradually weakens until it disappears with increasing noise amplitude. On the same time, synaptic plasticity with smaller learning rate also weakens this multiple ISR phenomenon, while synaptic plasticity with larger learning rate strengthens it. Furthermore, we find that changes of synaptic learning rate can induce the emergence of ISR phenomenon. We hope these obtained results would provide new insights into the study of ISR in neuroscience. 展开更多
关键词 inverse stochastic resonance synaptic plasticity modular neural network
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Effects of potassium channel blockage on inverse stochastic resonance in Hodgkin-Huxley neural systems
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作者 Xueqing WANG Dong YU +3 位作者 Yong WU Qianming DING Tianyu LI Ya JIA 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2023年第8期735-748,共14页
Inverse stochastic resonance(ISR)is a phenomenon in which the firing activity of a neuron is inhibited at a certain noise level.In this paper,the effects of potassium channel blockage on ISR in single Hodgkin-Huxley n... Inverse stochastic resonance(ISR)is a phenomenon in which the firing activity of a neuron is inhibited at a certain noise level.In this paper,the effects of potassium channel blockage on ISR in single Hodgkin-Huxley neurons and in small-world networks were investigated.For the single neuron,the ion channel noise-induced ISR phenomenon can occur only in a certain small range of potassium channel blockage ratio.Bifurcation analysis showed that this small range is the bistable region regulated by the external bias current.For small-world networks,the effect of non-homogeneous network blockage on ISR was investigated.The network blockage ratio was used to represent the proportion of potassium-channel-blocked neurons to total network neurons.It is found that an increase in network blockage ratio at small coupling strengths results in shorter ISR duration.When the coupling strength is increased,the ISR is more significant in the case of a large network blockage ratio.The ISR phenomenon is determined by the network blockage ratio,the coupling strength,and the ion channel noise.Our results will provide new perspectives on the observation of ISR in neuroscience experiments. 展开更多
关键词 inverse stochastic resonance(ISR) Small-world neuronal network Potassium channel blockage Network blockage ratio
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Reservoir parameter inversion based on weighted statistics 被引量:3
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作者 桂金咏 高建虎 +3 位作者 雍学善 李胜军 刘炳杨 赵万金 《Applied Geophysics》 SCIE CSCD 2015年第4期523-532,627,628,共12页
Variation of reservoir physical properties can cause changes in its elastic parameters. However, this is not a simple linear relation. Furthermore, the lack of observations, data overlap, noise interference, and ideal... Variation of reservoir physical properties can cause changes in its elastic parameters. However, this is not a simple linear relation. Furthermore, the lack of observations, data overlap, noise interference, and idealized models increases the uncertainties of the inversion result. Thus, we propose an inversion method that is different from traditional statistical rock physics modeling. First, we use deterministic and stochastic rock physics models considering the uncertainties of elastic parameters obtained by prestack seismic inversion and introduce weighting coefficients to establish a weighted statistical relation between reservoir and elastic parameters. Second, based on the weighted statistical relation, we use Markov chain Monte Carlo simulations to generate the random joint distribution space of reservoir and elastic parameters that serves as a sample solution space of an objective function. Finally, we propose a fast solution criterion to maximize the posterior probability density and obtain reservoir parameters. The method has high efficiency and application potential. 展开更多
关键词 Reservoir parameters inversion weighted statistics Bayesian framework stochastic simulation
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Rockfill material uncertainty inversion analysis of concrete-faced rockfill dams using stacking ensemble strategy and Jaya optimizer 被引量:3
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作者 Qin Ke Ming-chao Li +1 位作者 Qiu-bing Ren Wen-chao Zhao 《Water Science and Engineering》 EI CAS CSCD 2023年第4期419-428,共10页
Numerical simulation of concrete-faced rockfill dams(CFRDs)considering the spatial variability of rockfill has become a popular research topic in recent years.In order to determine uncertain rockfill properties effici... Numerical simulation of concrete-faced rockfill dams(CFRDs)considering the spatial variability of rockfill has become a popular research topic in recent years.In order to determine uncertain rockfill properties efficiently and reliably,this study developed an uncertainty inversion analysis method for rockfill material parameters using the stacking ensemble strategy and Jaya optimizer.The comprehensive implementation process of the proposed model was described with an illustrative CFRD example.First,the surrogate model method using the stacking ensemble algorithm was used to conduct the Monte Carlo stochastic finite element calculations with reduced computational cost and improved accuracy.Afterwards,the Jaya algorithm was used to inversely calculate the combination of the coefficient of variation of rockfill material parameters.This optimizer obtained higher accuracy and more significant uncertainty reduction than traditional optimizers.Overall,the developed model effectively identified the random parameters of rockfill materials.This study provided scientific references for uncertainty analysis of CFRDs.In addition,the proposed method can be applied to other similar engineering structures. 展开更多
关键词 CFRD Uncertainty inversion analysis stochastic finite element Surrogate model Stacking ensemble Jaya algorithm
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Detailed reservoir inversion addressing geological problems in reservoir development 被引量:1
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作者 Shen Guoqiang Meng Xianjun Xia Jizhuang Zhang Xuefang Li Xia 《Applied Geophysics》 SCIE CSCD 2007年第1期58-65,共8页
In the Ken 71 development block, fluvial facies of the Neogene Guantao Formation and delta facies of the Paleogene Dongying Formation are the main pay beds. It is a multiple oil and water system which is complicated b... In the Ken 71 development block, fluvial facies of the Neogene Guantao Formation and delta facies of the Paleogene Dongying Formation are the main pay beds. It is a multiple oil and water system which is complicated by faults. Characteristics of the block include a dense well network, thin reservoirs, complicated horizontal relationships, and small velocity difference between reservoir and non-reservoir. Therefore, it is difficult to conduct detailed reservoir description for subsequent development project adjustment. We demonstrate a stochastic seismic inversion which aims at detailed reservoir description. It is a technology which utilizes multiple wells, seismic data, and geological calibration and integrates with 3D structural interpretation results to build a 3D multi-fault detailed and constrained geological model. On this basis, we adopted stochastic seismic inversion to conduct a multi-stratum parameters inversion such as impedance and lithology. As a result, thin interbedded strata in the block were well resolved and the results demonstrated the importance of detailed reservoir inversion for oilfield development. 展开更多
关键词 Ken 71 block multi-well calibration detailed geological model IMPEDANCE stochastic seismic inversion
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Output-feedback Stabilization for Stochastic High-order Nonlinear Systems with a Ratio of Odd Integers Power 被引量:4
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作者 LIU Liang DUAN Na XIE Xue-Jun 《自动化学报》 EI CSCD 北大核心 2010年第6期858-864,共7页
关键词 反馈系统 稳定性 自动化 研究
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基于逆高斯随机过程的在役管道失效概率分析
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作者 程凯凯 李科委 +3 位作者 王兴 孙娜娜 吕高 翁光远 《中国安全科学学报》 北大核心 2026年第1期112-120,共9页
在役管道受复杂应力的影响,性能随时间退化为一个动态时变随机过程,为解决传统确定性函数难以准确描述管道性能随机退化这一难题,提出一种基于双随机过程的在役管道失效概率动态分析方法。采用逆高斯随机过程模拟管道性能退化,以等时段... 在役管道受复杂应力的影响,性能随时间退化为一个动态时变随机过程,为解决传统确定性函数难以准确描述管道性能随机退化这一难题,提出一种基于双随机过程的在役管道失效概率动态分析方法。采用逆高斯随机过程模拟管道性能退化,以等时段平稳二项矩形波过程概率模型描述管道内压荷载变化,构建管道承载力-内压荷载双随机过程概率模型;基于某管道服役期统计参数和性能退化数据,采用逆高斯分布拟合6个时刻的管道性能退化模型,动态预测失效概率。研究结果表明:采用2、4年的退化数据预测管道的使用寿命为16、14年;采用6、8和10年的退化数据预测管道的使用寿命为12、11和10年。壁厚、屈服强度、管径和运行压力对管道的失效概率影响最大,缺陷初始深度次之,缺陷初始长度、深度腐蚀速率和长度腐蚀速率影响较小。 展开更多
关键词 逆高斯随机过程 在役管道 失效概率 使用寿命 退化数据
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地震随机反演细粒岩储层岩性模型
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作者 徐长敏 刘娟霞 +1 位作者 李重逢 李大冬 《当代化工研究》 2026年第5期39-41,共3页
针对地震反射特征识别细粒沉积岩的类别难度较大的问题,利用岩心与测井资料开展单井目的层纵波阻抗对细粒沉积岩进行岩性区分,通过地震属性对砂地比的敏感性分析,应用RMS属性对砂体进行刻画并从中提取变差函数,最后进行叠后地震随机反... 针对地震反射特征识别细粒沉积岩的类别难度较大的问题,利用岩心与测井资料开展单井目的层纵波阻抗对细粒沉积岩进行岩性区分,通过地震属性对砂地比的敏感性分析,应用RMS属性对砂体进行刻画并从中提取变差函数,最后进行叠后地震随机反演岩性识别与预测。研究表明:(1)纵波阻抗可以较好的区分细砂岩、泥质砂岩、泥岩和灰质砂岩等4种岩性,各类岩性所对应的纵波阻抗范围分别为:6000~7500 MPa/s、7700~8500 MPa/s、8500~9200 MPa/s和8800~9500 MPa/s;(2)RMS均方根属性对砂地比的敏感性较强,对砂体进行宏观范围约束,再结合研究区物源方向得到了研究区主、次变程的变异函数参数值,其中主变程为2500 m,次变程为1500 m,垂向变程为8 m。以此为约束条件,建立了合理的纵波阻抗模型;(3)利用地震叠后随机反演结果对各个小层的砂地比分布进行了预测。研究表明,HJ530砂体整体沿北西方向呈带状与片状延伸,单体宽度约为480~670 m。HJ540的储层砂体呈北西向大面积连片状发育,砂体发育位置与HJ530有较好的继承性。通过单井验证发现,预测砂体与实钻符合率达到80%。 展开更多
关键词 地震资料 细粒沉积岩 岩性预测 叠后随机反演 珠江口盆地
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Quasi Solution of an Inverse Fractional Stochastic Nonlinear Partial Differential Equation of Parabolic Type
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作者 T.Nasiri A.Zakeri A.Aminataei 《Communications on Applied Mathematics and Computation》 2025年第4期1350-1363,共14页
In this paper,the existence theorem for a quasi solution of an inverse fractional stochastic parabolic equation driven by multiplicative noise in the form cD_(t)^(a)u-div(g(x,▽u))=f(x,u)+σ(x,u)w(t)is given.In this e... In this paper,the existence theorem for a quasi solution of an inverse fractional stochastic parabolic equation driven by multiplicative noise in the form cD_(t)^(a)u-div(g(x,▽u))=f(x,u)+σ(x,u)w(t)is given.In this equation,the fractional derivative is considered in the Caputo sense.Also,the random function g is unknown and should be determined.To identify the unknown coefficient,the minimization and stochastic variational formulation methods in a fractional stochastic Sobolev space are used.Indeed,we obtain a stability estimation and then prove the continuity of the minimization functional using obtained stability estimation.These results show the existence of the quasi solution for the mentioned problem. 展开更多
关键词 inverse problem Fractional differential equation stochastic equation Quasi solution Multiplicative noise Caputo fractional derivative
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多策略改进的徒步优化算法及其应用 被引量:5
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作者 徐明 王风富 龙文 《电子测量技术》 北大核心 2025年第3期60-73,共14页
为了解决复杂数值优化问题,提出一种基于柯西逆累积分布算子和随机差分变异策略改进的徒步优化算法。该算法使用佳点集初始化种群,以此增加种群多样性;采用柯西逆累积分布算子,平衡全局搜索与局部开发能力;引入随机差分变异策略,降低过... 为了解决复杂数值优化问题,提出一种基于柯西逆累积分布算子和随机差分变异策略改进的徒步优化算法。该算法使用佳点集初始化种群,以此增加种群多样性;采用柯西逆累积分布算子,平衡全局搜索与局部开发能力;引入随机差分变异策略,降低过早陷入局部最优的风险。实验结果显示,该算法在CEC2017测试集上的平均性能优于8种对比算法。统计检验进一步证实了性能差异具有显著性。同时,从CEC2017测试集中选取9个有代表性的测试函数,通过对比试验,分别验证了该算法中三种改进策略的有效性。此外,将该算法应用到光伏模型参数辨识中,实现了较小的均方根误差2.43×10~(-3),为所有比较算法中的最优值。在另外两类工程设计问题中,该算法均取得了最小目标函数值,优于对比算法。综上所述,改进的徒步优化算法在全局搜索能力、收敛速度和精度方面表现出色,有效提升了解决复杂数值优化问题的性能。 展开更多
关键词 徒步优化算法 佳点集 柯西逆累积分布算子 随机差分 光伏模型
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基于布谷鸟算法的马尔可夫链蒙特卡洛反演方法 被引量:1
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作者 李进 张怀 石耀霖 《地球物理学报》 北大核心 2025年第4期1511-1520,共10页
由于地球物理重、磁、电、震等实际勘测数据不够完备,部分数据信噪比较低,使得传统的以吉洪诺夫(Tikhonov)正则化为基础的反演理论存在分辨率较低、适定性较差等问题.近年来,以贝叶斯(Bayesian)反演为代表的随机反演日趋成熟.该方法具... 由于地球物理重、磁、电、震等实际勘测数据不够完备,部分数据信噪比较低,使得传统的以吉洪诺夫(Tikhonov)正则化为基础的反演理论存在分辨率较低、适定性较差等问题.近年来,以贝叶斯(Bayesian)反演为代表的随机反演日趋成熟.该方法具备反演结果分辨率更高、全局收敛性更好、更易于与人工智能(AI)结合等优势,弥补了传统算法的不足.贝叶斯反演方法最主要的瓶颈在于马尔可夫链蒙特卡洛采样算法计算量大、收敛速度慢且不稳定.本文在贝叶斯反演框架下构建了地球物理反演的目标参数,利用数据与待反演参数之间存在的物理关系,基于马尔可夫链蒙特卡洛算法,引入布谷鸟算法优化采样,实现了对重力场和地震波平均速度的反演,并与传统反演方法进行了对比.结果表明,我们提出的方法比传统马尔可夫链蒙特卡洛反演方法具有更高的准确率、更快的收敛速度和更好的稳定性,为今后在地球物理反演中实现吉洪诺夫正则化与随机反演相结合的非线性反演理论提供了新思路和新途径. 展开更多
关键词 随机反演 贝叶斯反演 马尔可夫链蒙特卡洛算法 布谷鸟算法 重力反演 地震波反演
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基于Copula函数和蒙特卡洛法的黄河上游多站径流相关分析与随机模拟
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作者 米子甲 李想 +5 位作者 沈延青 乔海山 白音包力皋 王战策 祁善胜 包娟 《水利水电技术(中英文)》 北大核心 2025年第12期67-86,共20页
【目的】径流具有随机性、非平稳性、时间连续性和空间异质性。考虑径流时空二维相关特征,建立了一种多站径流序列重构模型,能够模拟径流时空多变化场景。【方法】优选了合适的边缘分布和Copula函数,建立了相同站点不同时段、不同站点... 【目的】径流具有随机性、非平稳性、时间连续性和空间异质性。考虑径流时空二维相关特征,建立了一种多站径流序列重构模型,能够模拟径流时空多变化场景。【方法】优选了合适的边缘分布和Copula函数,建立了相同站点不同时段、不同站点相同时段的径流相关关系,进而采用蒙特卡洛法中的逆变换抽样随机模拟多站径流序列。以黄河上游为例,开展了唐乃亥和兰州两大控制性水文站月尺度径流相关分析与随机模拟。【结果】结果表明,随着模拟次数增加,模拟径流序列与实测径流序列的一致性不断提高;当模拟次数为500次时,两站月径流平均相对误差最大为2.07%和3.28%;当模拟次数达到10000次时,两站各月径流平均相对误差分别低于0.34%和0.37%。【结论】综上,基于Copula函数和蒙特卡洛法的径流序列重构模型能够推广应用于更多站点,为延长少资料区水文序列,建立多时空径流遭遇场景下具有水力与电力联系的水库群调度规则,以及流域水资源配置方案等提供可靠的数据支持。 展开更多
关键词 黄河上游 边缘分布函数 COPULA函数 逆变换抽样 随机模拟 影响因素
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